On your PE and GPE Calculations assignment, #4 asked you to describe the relationship of GPE and gravity based on your calculations for both of the tables in #2 and #3. Please use comparisons such as as _______ increased/decreased, the __________ increased/decreased.

Question

Question 5 options:

as the gravity decreases the GPE increases

as the gravity increases the GPE decreases

as the gravity decreases the GPE decreases

Answer 1

Based on your question, the correct comparison regarding the relationship between gravitational potential energy (GPE) and gravity would be:

As gravity decreases, the GPE decreases.

This is based on the formula for gravitational potential energy, which is given by:

\[ \text{GPE} = m \times g \times h \]

where:

• \( m \) is the mass,
• \( g \) is the acceleration due to gravity,
• \( h \) is the height.

From the formula, it's clear that if the gravitational acceleration \( g \) decreases, while the mass \( m \) and height \( h \) remain constant, the gravitational potential energy (GPE) will also decrease. Conversely, if gravity increases, GPE would increase assuming mass and height stay the same.

If you need a more detailed explanation or analysis, feel free to ask!